5101836751440 has 1280 divisors, whose sum is σ = 21793005158400. Its totient is φ = 1078537420800.

The previous prime is 5101836751423. The next prime is 5101836751457. The reversal of 5101836751440 is 441576381015.

5101836751440 is a `hidden beast` number, since 5 + 10 + 1 + 83 + 6 + 7 + 514 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (5101836751423) and next prime (5101836751457).

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

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, 2529417312 + ... + 2529419328.

It is an arithmetic number, because the mean of its divisors is an integer number (17025785280).

Almost surely, 2^{5101836751440} 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 5101836751440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10896502579200).

5101836751440 is an abundant number, since it is smaller than the sum of its proper divisors (16691168406960).

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

5101836751440 is a wasteful number, since it uses less digits than its factorization.

5101836751440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 5101836751440 in words is "five trillion, one hundred one billion, eight hundred thirty-six million, seven hundred fifty-one thousand, four hundred forty".