49408042320 has 1440 divisors, whose sum is σ = 224291358720. Its totient is φ = 9510359040.

The previous prime is 49408042309. The next prime is 49408042331. The reversal of 49408042320 is 2324080494.

It is an interprime number because it is at equal distance from previous prime (49408042309) and next prime (49408042331).

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 287 ways as a sum of consecutive naturals, for example, 695887885 + ... + 695887955.

It is an arithmetic number, because the mean of its divisors is an integer number (155757888).

Almost surely, 2^49408042320 is an apocalyptic number.

49408042320 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 49408042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112145679360).

49408042320 is an abundant number, since it is smaller than the sum of its proper divisors (174883316400).

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

49408042320 is a wasteful number, since it uses less digits than its factorization.

49408042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 49408042320 in words is "forty-nine billion, four hundred eight million, forty-two thousand, three hundred twenty".