49406760000 has 1680 divisors, whose sum is σ = 218357403264. Its totient is φ = 10948608000.

The previous prime is 49406759999. The next prime is 49406760031. The reversal of 49406760000 is 6760494.

49406760000 is a `hidden beast` number, since 4 + 9 + 40 + 6 + 7 + 600 + 0 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 2148119989 + ... + 2148120011.

Almost surely, 2^49406760000 is an apocalyptic number.

49406760000 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 49406760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109178701632).

49406760000 is an abundant number, since it is smaller than the sum of its proper divisors (168950643264).

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

49406760000 is a wasteful number, since it uses less digits than its factorization.

49406760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 49406760000 in words is "forty-nine billion, four hundred six million, seven hundred sixty thousand".