40885057215072 has 768 divisors, whose sum is σ = 144077550059520. Its totient is φ = 11027029837824.

The previous prime is 40885057215071. The next prime is 40885057215103. The reversal of 40885057215072 is 27051275058804.

It is a happy number.

40885057215072 is a `hidden beast` number, since 4 + 0 + 8 + 8 + 50 + 572 + 15 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×40885057215072² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40885057215071) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18276734338 + ... + 18276736574.

It is an arithmetic number, because the mean of its divisors is an integer number (187600976640).

Almost surely, 2^{40885057215072} is an apocalyptic number.

40885057215072 is a gapful number since it is divisible by the number (42) 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 40885057215072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72038775029760).

40885057215072 is an abundant number, since it is smaller than the sum of its proper divisors (103192492844448).

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

40885057215072 is a wasteful number, since it uses less digits than its factorization.

40885057215072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3938 counting only the distinct ones).

The product of its (nonzero) digits is 6272000, while the sum is 54.

The spelling of 40885057215072 in words is "forty trillion, eight hundred eighty-five billion, fifty-seven million, two hundred fifteen thousand, seventy-two".