400609887120 has 480 divisors, whose sum is σ = 1382829207552. Its totient is φ = 103914897408.

The previous prime is 400609887107. The next prime is 400609887151. The reversal of 400609887120 is 21788906004.

400609887120 is a `hidden beast` number, since 400 + 60 + 98 + 87 + 1 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1415582499 + ... + 1415582781.

Almost surely, 2^400609887120 is an apocalyptic number.

400609887120 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 400609887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691414603776).

400609887120 is an abundant number, since it is smaller than the sum of its proper divisors (982219320432).

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

400609887120 is a wasteful number, since it uses less digits than its factorization.

400609887120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 400609887120 in words is "four hundred billion, six hundred nine million, eight hundred eighty-seven thousand, one hundred twenty".