49993687040 has 448 divisors, whose sum is σ = 142171936128. Its totient is φ = 16672358400.

The previous prime is 49993687019. The next prime is 49993687097. The reversal of 49993687040 is 4078639994.

It is a super-3 number, since 3×49993687040³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467230667 + ... + 467230773.

Almost surely, 2^49993687040 is an apocalyptic number.

49993687040 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 49993687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71085968064).

49993687040 is an abundant number, since it is smaller than the sum of its proper divisors (92178249088).

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

49993687040 is a wasteful number, since it uses less digits than its factorization.

49993687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 59.

The spelling of 49993687040 in words is "forty-nine billion, nine hundred ninety-three million, six hundred eighty-seven thousand, forty".