40147865923968 has 1280 divisors, whose sum is σ = 139465626854400. Its totient is φ = 11348796211200.

The previous prime is 40147865923967. The next prime is 40147865923987. The reversal of 40147865923968 is 86932956874104.

40147865923968 is a `hidden beast` number, since 4 + 0 + 1 + 478 + 6 + 5 + 92 + 3 + 9 + 68 = 666.

It is a super-2 number, since 2×40147865923968² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 40147865923896 and 40147865923905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40147865923961) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14509527321 + ... + 14509530087.

It is an arithmetic number, because the mean of its divisors is an integer number (108957520980).

It is a 2-persistent number, because it is pandigital, and so is 2⋅40147865923968 = 80295731847936, but 3⋅40147865923968 = 120443597771904 is not.

Almost surely, 2^{40147865923968} is an apocalyptic number.

40147865923968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40147865923968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69732813427200).

40147865923968 is an abundant number, since it is smaller than the sum of its proper divisors (99317760930432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40147865923968 is a wasteful number, since it uses less digits than its factorization.

40147865923968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2960 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 40147865923968 in words is "forty trillion, one hundred forty-seven billion, eight hundred sixty-five million, nine hundred twenty-three thousand, nine hundred sixty-eight".