399807001440 has 1536 divisors, whose sum is σ = 1875363840000. Its totient is φ = 78643353600.

The previous prime is 399807001427. The next prime is 399807001469. The reversal of 399807001440 is 44100708993.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 309687195 + ... + 309688485.

It is an arithmetic number, because the mean of its divisors is an integer number (1220940000).

Almost surely, 2^399807001440 is an apocalyptic number.

399807001440 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 399807001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937681920000).

399807001440 is an abundant number, since it is smaller than the sum of its proper divisors (1475556838560).

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

399807001440 is a wasteful number, since it uses less digits than its factorization.

399807001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 399807001440 in words is "three hundred ninety-nine billion, eight hundred seven million, one thousand, four hundred forty".