49346758440 has 768 divisors, whose sum is σ = 199547712000. Its totient is φ = 10729635840.

The previous prime is 49346758421. The next prime is 49346758441. The reversal of 49346758440 is 4485764394.

49346758440 is a `hidden beast` number, since 4 + 93 + 4 + 67 + 58 + 440 = 666.

It is a super-2 number, since 2×49346758440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49346758441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175611100 + ... + 175611380.

It is an arithmetic number, because the mean of its divisors is an integer number (259827750).

Almost surely, 2^49346758440 is an apocalyptic number.

49346758440 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 49346758440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99773856000).

49346758440 is an abundant number, since it is smaller than the sum of its proper divisors (150200953560).

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

49346758440 is a wasteful number, since it uses less digits than its factorization.

49346758440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 49346758440 in words is "forty-nine billion, three hundred forty-six million, seven hundred fifty-eight thousand, four hundred forty".