40153483440 has 240 divisors, whose sum is σ = 155240474688. Its totient is φ = 9110790144.

The previous prime is 40153483399. The next prime is 40153483481. The reversal of 40153483440 is 4438435104.

40153483440 is a `hidden beast` number, since 4 + 0 + 1 + 534 + 83 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40153483399) and next prime (40153483481).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×40153483440² (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 = 40153483395 and 40153483404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 661404 + ... + 719556.

Almost surely, 2^40153483440 is an apocalyptic number.

40153483440 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 40153483440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77620237344).

40153483440 is an abundant number, since it is smaller than the sum of its proper divisors (115086991248).

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

40153483440 is a wasteful number, since it uses less digits than its factorization.

40153483440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58316 (or 58307 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40153483440 in words is "forty billion, one hundred fifty-three million, four hundred eighty-three thousand, four hundred forty".