49964102942400 has 336 divisors, whose sum is σ = 182162362603680. Its totient is φ = 13321953792000.

The previous prime is 49964102942329. The next prime is 49964102942407. The reversal of 49964102942400 is 424920146994.

49964102942400 is a `hidden beast` number, since 4 + 9 + 96 + 4 + 102 + 9 + 42 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (49964102942407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 335027850 + ... + 335176950.

Almost surely, 2^{49964102942400} is an apocalyptic number.

49964102942400 is a gapful number since it is divisible by the number (40) 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 49964102942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91081181301840).

49964102942400 is an abundant number, since it is smaller than the sum of its proper divisors (132198259661280).

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

49964102942400 is a wasteful number, since it uses less digits than its factorization.

49964102942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156889 (or 156868 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 49964102942400 in words is "forty-nine trillion, nine hundred sixty-four billion, one hundred two million, nine hundred forty-two thousand, four hundred".