400936131037440 has 4032 divisors, whose sum is σ = 1647727852732416. Its totient is φ = 92878530674688.

The previous prime is 400936131037439. The next prime is 400936131037441. The reversal of 400936131037440 is 44730131639004.

400936131037440 is a `hidden beast` number, since 4 + 0 + 0 + 93 + 6 + 13 + 103 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (400936131037439) and next prime (400936131037441).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (400936131037441) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1766238462607 + ... + 1766238462833.

It is an arithmetic number, because the mean of its divisors is an integer number (408662661888).

Almost surely, 2^{400936131037440} is an apocalyptic number.

400936131037440 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 400936131037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823863926366208).

400936131037440 is an abundant number, since it is smaller than the sum of its proper divisors (1246791721694976).

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

400936131037440 is a wasteful number, since it uses less digits than its factorization.

400936131037440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 400936131037440 in words is "four hundred trillion, nine hundred thirty-six billion, one hundred thirty-one million, thirty-seven thousand, four hundred forty".