400465878309720 has 768 divisors, whose sum is σ = 1414606602240000. Its totient is φ = 97880615239680.

The previous prime is 400465878309719. The next prime is 400465878309767. The reversal of 400465878309720 is 27903878564004.

400465878309720 is a `hidden beast` number, since 4 + 0 + 0 + 46 + 587 + 8 + 3 + 0 + 9 + 7 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23658399897 + ... + 23658416823.

It is an arithmetic number, because the mean of its divisors is an integer number (1841935680000).

Almost surely, 2^{400465878309720} is an apocalyptic number.

400465878309720 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 400465878309720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707303301120000).

400465878309720 is an abundant number, since it is smaller than the sum of its proper divisors (1014140723930280).

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

400465878309720 is a wasteful number, since it uses less digits than its factorization.

400465878309720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17648 (or 17641 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 400465878309720 in words is "four hundred trillion, four hundred sixty-five billion, eight hundred seventy-eight million, three hundred nine thousand, seven hundred twenty".