49286968957440 has 1600 divisors, whose sum is σ = 188978020704000. Its totient is φ = 12241929240576.

The previous prime is 49286968957397. The next prime is 49286968957451. The reversal of 49286968957440 is 4475986968294.

49286968957440 is a `hidden beast` number, since 4 + 9 + 2 + 8 + 6 + 96 + 89 + 5 + 7 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 49286968957440.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66335085709 + ... + 66335086451.

It is an arithmetic number, because the mean of its divisors is an integer number (118111262940).

Almost surely, 2^{49286968957440} is an apocalyptic number.

49286968957440 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 49286968957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94489010352000).

49286968957440 is an abundant number, since it is smaller than the sum of its proper divisors (139691051746560).

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

49286968957440 is a wasteful number, since it uses less digits than its factorization.

49286968957440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 49286968957440 in words is "forty-nine trillion, two hundred eighty-six billion, nine hundred sixty-eight million, nine hundred fifty-seven thousand, four hundred forty".