40400133131040 has 48 divisors (see below), whose sum is σ = 127260419364288. Its totient is φ = 10773368834816.

The previous prime is 40400133130979. The next prime is 40400133131053. The reversal of 40400133131040 is 4013133100404.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40400133131040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40400133131040.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42083471532 + ... + 42083472491.

It is an arithmetic number, because the mean of its divisors is an integer number (2651258736756).

Almost surely, 2^{40400133131040} is an apocalyptic number.

40400133131040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40400133131040 is an abundant number, since it is smaller than the sum of its proper divisors (86860286233248).

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

40400133131040 is a wasteful number, since it uses less digits than its factorization.

40400133131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84166944041 (or 84166944033 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 40400133131040 its reverse (4013133100404), we get a palindrome (44413266231444).

The spelling of 40400133131040 in words is "forty trillion, four hundred billion, one hundred thirty-three million, one hundred thirty-one thousand, forty".