482138248136400 has 240 divisors, whose sum is σ = 1726582975158720. Its totient is φ = 127781424806400.

The previous prime is 482138248136393. The next prime is 482138248136429. The reversal of 482138248136400 is 4631842831284.

482138248136400 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 38 + 248 + 1 + 364 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135179571 + ... + 138700370.

It is an arithmetic number, because the mean of its divisors is an integer number (7194095729828).

Almost surely, 2^{482138248136400} is an apocalyptic number.

482138248136400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

482138248136400 is an abundant number, since it is smaller than the sum of its proper divisors (1244444727022320).

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

482138248136400 is a wasteful number, since it uses less digits than its factorization.

482138248136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273880131 (or 273880114 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 482138248136400 in words is "four hundred eighty-two trillion, one hundred thirty-eight billion, two hundred forty-eight million, one hundred thirty-six thousand, four hundred".