4969457351040 has 768 divisors, whose sum is σ = 20483974103040. Its totient is φ = 1014670540800.

The previous prime is 4969457351003. The next prime is 4969457351041. The reversal of 4969457351040 is 401537549694.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4969457351041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37848705 + ... + 37979775.

It is an arithmetic number, because the mean of its divisors is an integer number (26671841280).

Almost surely, 2^{4969457351040} is an apocalyptic number.

4969457351040 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 4969457351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241987051520).

4969457351040 is an abundant number, since it is smaller than the sum of its proper divisors (15514516752000).

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

4969457351040 is a wasteful number, since it uses less digits than its factorization.

4969457351040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131151 (or 131132 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 4969457351040 in words is "four trillion, nine hundred sixty-nine billion, four hundred fifty-seven million, three hundred fifty-one thousand, forty".