49400869321440 has 4608 divisors, whose sum is σ = 237220462080000. Its totient is φ = 9512700051456.

The previous prime is 49400869321411. The next prime is 49400869321481. The reversal of 49400869321440 is 4412396800494.

49400869321440 is a `hidden beast` number, since 4 + 9 + 400 + 8 + 6 + 93 + 2 + 144 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 676724237244 + ... + 676724237316.

It is an arithmetic number, because the mean of its divisors is an integer number (51480135000).

Almost surely, 2^{49400869321440} is an apocalyptic number.

49400869321440 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 49400869321440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118610231040000).

49400869321440 is an abundant number, since it is smaller than the sum of its proper divisors (187819592758560).

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

49400869321440 is a wasteful number, since it uses less digits than its factorization.

49400869321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 49400869321440 in words is "forty-nine trillion, four hundred billion, eight hundred sixty-nine million, three hundred twenty-one thousand, four hundred forty".