400392165761280 has 4608 divisors, whose sum is σ = 1918640471408640. Its totient is φ = 76644237312000.

The previous prime is 400392165761221. The next prime is 400392165761299. The reversal of 400392165761280 is 82167561293004.

It is a happy number.

400392165761280 is a `hidden beast` number, since 4 + 0 + 0 + 3 + 9 + 2 + 16 + 5 + 7 + 612 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 143458316685 + ... + 143458319475.

It is an arithmetic number, because the mean of its divisors is an integer number (416371630080).

It is a 1-persistent number, because it is pandigital, but 2⋅400392165761280 = 800784331522560 is not.

Almost surely, 2^{400392165761280} is an apocalyptic number.

400392165761280 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 400392165761280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959320235704320).

400392165761280 is an abundant number, since it is smaller than the sum of its proper divisors (1518248305647360).

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

400392165761280 is a wasteful number, since it uses less digits than its factorization.

400392165761280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 400392165761280 in words is "four hundred trillion, three hundred ninety-two billion, one hundred sixty-five million, seven hundred sixty-one thousand, two hundred eighty".