40347901440 has 1800 divisors, whose sum is σ = 193550069592. Its totient is φ = 7942717440.

The previous prime is 40347901367. The next prime is 40347901511. The reversal of 40347901440 is 4410974304.

40347901440 is a `hidden beast` number, since 40 + 3 + 479 + 0 + 144 + 0 = 666.

It is a super-2 number, since 2×40347901440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40347901395 and 40347901404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2123573751 + ... + 2123573769.

Almost surely, 2^40347901440 is an apocalyptic number.

40347901440 is a gapful number since it is divisible by the number (40) 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 40347901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96775034796).

40347901440 is an abundant number, since it is smaller than the sum of its proper divisors (153202168152).

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

40347901440 is a wasteful number, since it uses less digits than its factorization.

40347901440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 40347901440 in words is "forty billion, three hundred forty-seven million, nine hundred one thousand, four hundred forty".