5101994701440 has 3072 divisors, whose sum is σ = 23601947443200. Its totient is φ = 1018578862080.

The previous prime is 5101994701439. The next prime is 5101994701541. The reversal of 5101994701440 is 441074991015.

5101994701440 is a `hidden beast` number, since 5 + 10 + 199 + 4 + 7 + 0 + 1 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52597883472 + ... + 52597883568.

It is an arithmetic number, because the mean of its divisors is an integer number (7682925600).

Almost surely, 2^{5101994701440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101994701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11800973721600).

5101994701440 is an abundant number, since it is smaller than the sum of its proper divisors (18499952741760).

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

5101994701440 is a wasteful number, since it uses less digits than its factorization.

5101994701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 5101994701440 in words is "five trillion, one hundred one billion, nine hundred ninety-four million, seven hundred one thousand, four hundred forty".