49087116879840 has 1920 divisors, whose sum is σ = 211052607575040. Its totient is φ = 10612091584512.

The previous prime is 49087116879839. The next prime is 49087116879961. The reversal of 49087116879840 is 4897861178094.

49087116879840 is a `hidden beast` number, since 490 + 8 + 7 + 1 + 1 + 6 + 8 + 7 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3646068949 + ... + 3646082411.

It is an arithmetic number, because the mean of its divisors is an integer number (109923233112).

Almost surely, 2^{49087116879840} is an apocalyptic number.

49087116879840 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 49087116879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105526303787520).

49087116879840 is an abundant number, since it is smaller than the sum of its proper divisors (161965490695200).

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

49087116879840 is a wasteful number, since it uses less digits than its factorization.

49087116879840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13606 (or 13589 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 72.

The spelling of 49087116879840 in words is "forty-nine trillion, eighty-seven billion, one hundred sixteen million, eight hundred seventy-nine thousand, eight hundred forty".