49166714197440 has 1792 divisors, whose sum is σ = 207753435648000. Its totient is φ = 10935644848128.

The previous prime is 49166714197439. The next prime is 49166714197451. The reversal of 49166714197440 is 4479141766194.

49166714197440 is a `hidden beast` number, since 4 + 9 + 1 + 6 + 67 + 1 + 41 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44983269534 + ... + 44983270626.

Almost surely, 2^{49166714197440} is an apocalyptic number.

49166714197440 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 49166714197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103876717824000).

49166714197440 is an abundant number, since it is smaller than the sum of its proper divisors (158586721450560).

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

49166714197440 is a wasteful number, since it uses less digits than its factorization.

49166714197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1506 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 49166714197440 in words is "forty-nine trillion, one hundred sixty-six billion, seven hundred fourteen million, one hundred ninety-seven thousand, four hundred forty".