39426048000 has 960 divisors, whose sum is σ = 157029949440. Its totient is φ = 9732096000.

The previous prime is 39426047989. The next prime is 39426048019. The reversal of 39426048000 is 84062493.

It is a happy number.

39426048000 is a `hidden beast` number, since 3 + 9 + 42 + 604 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1271807985 + ... + 1271808015.

It is an arithmetic number, because the mean of its divisors is an integer number (163572864).

Almost surely, 2^39426048000 is an apocalyptic number.

39426048000 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 39426048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78514974720).

39426048000 is an abundant number, since it is smaller than the sum of its proper divisors (117603901440).

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

39426048000 is an equidigital number, since it uses as much as digits as its factorization.

39426048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 39426048000 in words is "thirty-nine billion, four hundred twenty-six million, forty-eight thousand".