400470616000 has 448 divisors, whose sum is σ = 1250499204864. Its totient is φ = 123641856000.

The previous prime is 400470615983. The next prime is 400470616001. The reversal of 400470616000 is 616074004.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 400470616000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400470616001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29841292 + ... + 29854708.

It is an arithmetic number, because the mean of its divisors is an integer number (2791292868).

Almost surely, 2^400470616000 is an apocalyptic number.

400470616000 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 400470616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625249602432).

400470616000 is an abundant number, since it is smaller than the sum of its proper divisors (850028588864).

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

400470616000 is a wasteful number, since it uses less digits than its factorization.

400470616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 400470616000 in words is "four hundred billion, four hundred seventy million, six hundred sixteen thousand".