400514610961080 has 1024 divisors, whose sum is σ = 1700487461376000. Its totient is φ = 82460142858240.

The previous prime is 400514610961067. The next prime is 400514610961193. The reversal of 400514610961080 is 80169016415004.

400514610961080 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 14 + 6 + 10 + 9 + 610 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 733946892 + ... + 734492388.

It is an arithmetic number, because the mean of its divisors is an integer number (1660632286500).

Almost surely, 2^{400514610961080} is an apocalyptic number.

400514610961080 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 400514610961080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850243730688000).

400514610961080 is an abundant number, since it is smaller than the sum of its proper divisors (1299972850414920).

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

400514610961080 is a wasteful number, since it uses less digits than its factorization.

400514610961080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545656 (or 545634 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 400514610961080 in words is "four hundred trillion, five hundred fourteen billion, six hundred ten million, nine hundred sixty-one thousand, eighty".