400141023085440 has 3072 divisors, whose sum is σ = 1889269958983680. Its totient is φ = 75632187801600.

The previous prime is 400141023085403. The next prime is 400141023085487. The reversal of 400141023085440 is 44580320141004.

400141023085440 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 4 + 102 + 3 + 0 + 8 + 544 + 0 = 666.

It is a super-2 number, since 2×400141023085440² (a number of 30 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 = 400141023085395 and 400141023085404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16850159647 + ... + 16850183393.

It is an arithmetic number, because the mean of its divisors is an integer number (614996731440).

Almost surely, 2^{400141023085440} is an apocalyptic number.

400141023085440 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 400141023085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944634979491840).

400141023085440 is an abundant number, since it is smaller than the sum of its proper divisors (1489128935898240).

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

400141023085440 is a wasteful number, since it uses less digits than its factorization.

400141023085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23901 (or 23886 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 400141023085440 in words is "four hundred trillion, one hundred forty-one billion, twenty-three million, eighty-five thousand, four hundred forty".