49401031680 has 2640 divisors, whose sum is σ = 256159876896. Its totient is φ = 8918138880.

The previous prime is 49401031649. The next prime is 49401031727. The reversal of 49401031680 is 8613010494.

49401031680 is a `hidden beast` number, since 494 + 0 + 1 + 0 + 3 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2905943032 + ... + 2905943048.

Almost surely, 2^49401031680 is an apocalyptic number.

49401031680 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 49401031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128079938448).

49401031680 is an abundant number, since it is smaller than the sum of its proper divisors (206758845216).

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

49401031680 is a wasteful number, since it uses less digits than its factorization.

49401031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 49401031680 in words is "forty-nine billion, four hundred one million, thirty-one thousand, six hundred eighty".