390729472740 has 432 divisors, whose sum is σ = 1289320971120. Its totient is φ = 95651020800.

The previous prime is 390729472687. The next prime is 390729472769. The reversal of 390729472740 is 47274927093.

390729472740 is a `hidden beast` number, since 39 + 0 + 72 + 9 + 472 + 74 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 29345745636 + 361383727104 = 171306^2 + 601152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 262409916 + ... + 262411404.

It is an arithmetic number, because the mean of its divisors is an integer number (2984539285).

Almost surely, 2^390729472740 is an apocalyptic number.

390729472740 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 390729472740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644660485560).

390729472740 is an abundant number, since it is smaller than the sum of its proper divisors (898591498380).

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

390729472740 is a wasteful number, since it uses less digits than its factorization.

390729472740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 390729472740 in words is "three hundred ninety billion, seven hundred twenty-nine million, four hundred seventy-two thousand, seven hundred forty".