40056507303540 has 384 divisors, whose sum is σ = 138929227530240. Its totient is φ = 8397125978112.

The previous prime is 40056507303499. The next prime is 40056507303581. The reversal of 40056507303540 is 4530370565004.

It is an interprime number because it is at equal distance from previous prime (40056507303499) and next prime (40056507303581).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 40056507303492 and 40056507303501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5666499126 + ... + 5666506194.

It is an arithmetic number, because the mean of its divisors is an integer number (361794863360).

Almost surely, 2^{40056507303540} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40056507303540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464613765120).

40056507303540 is an abundant number, since it is smaller than the sum of its proper divisors (98872720226700).

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

40056507303540 is a wasteful number, since it uses less digits than its factorization.

40056507303540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13631 (or 13629 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 42.

Adding to 40056507303540 its reverse (4530370565004), we get a palindrome (44586877868544).

The spelling of 40056507303540 in words is "forty trillion, fifty-six billion, five hundred seven million, three hundred three thousand, five hundred forty".