390677126400 has 1296 divisors, whose sum is σ = 1621618584768. Its totient is φ = 92233728000.

The previous prime is 390677126393. The next prime is 390677126401. The reversal of 390677126400 is 4621776093.

390677126400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390677126401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 701394922 + ... + 701395478.

It is an arithmetic number, because the mean of its divisors is an integer number (1251248908).

Almost surely, 2^390677126400 is an apocalyptic number.

390677126400 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 390677126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810809292384).

390677126400 is an abundant number, since it is smaller than the sum of its proper divisors (1230941458368).

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

390677126400 is a wasteful number, since it uses less digits than its factorization.

390677126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 390677126400 in words is "three hundred ninety billion, six hundred seventy-seven million, one hundred twenty-six thousand, four hundred".