4919891558400 has 1152 divisors, whose sum is σ = 21693882231840. Its totient is φ = 1037901496320.

The previous prime is 4919891558389. The next prime is 4919891558423. The reversal of 4919891558400 is 48551989194.

4919891558400 is a `hidden beast` number, since 4 + 9 + 1 + 98 + 91 + 5 + 58 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4919891558400² (a number of 26 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 670921134 + ... + 670928466.

Almost surely, 2^{4919891558400} is an apocalyptic number.

4919891558400 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 4919891558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10846941115920).

4919891558400 is an abundant number, since it is smaller than the sum of its proper divisors (16773990673440).

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

4919891558400 is a wasteful number, since it uses less digits than its factorization.

4919891558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7399 (or 7363 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 4919891558400 in words is "four trillion, nine hundred nineteen billion, eight hundred ninety-one million, five hundred fifty-eight thousand, four hundred".