399983754240 has 924 divisors, whose sum is σ = 1674215769816. Its totient is φ = 91424858112.

The previous prime is 399983754217. The next prime is 399983754251. The reversal of 399983754240 is 42457389993.

399983754240 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 83 + 7 + 542 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 57140536317 + ... + 57140536323.

Almost surely, 2^399983754240 is an apocalyptic number.

399983754240 is a gapful number since it is divisible by the number (30) 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 399983754240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837107884908).

399983754240 is an abundant number, since it is smaller than the sum of its proper divisors (1274232015576).

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

399983754240 is an frugal number, since it uses more digits than its factorization.

399983754240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 399983754240 in words is "three hundred ninety-nine billion, nine hundred eighty-three million, seven hundred fifty-four thousand, two hundred forty".