4956376740840 has 512 divisors, whose sum is σ = 19248648192000. Its totient is φ = 1110877867008.

The previous prime is 4956376740803. The next prime is 4956376740869. The reversal of 4956376740840 is 480476736594.

It is a happy number.

4956376740840 is a `hidden beast` number, since 4 + 9 + 563 + 7 + 67 + 4 + 0 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1329855057 + ... + 1329858783.

It is an arithmetic number, because the mean of its divisors is an integer number (37595016000).

Almost surely, 2^{4956376740840} is an apocalyptic number.

4956376740840 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 4956376740840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624324096000).

4956376740840 is an abundant number, since it is smaller than the sum of its proper divisors (14292271451160).

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

4956376740840 is a wasteful number, since it uses less digits than its factorization.

4956376740840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7126 (or 7116 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 4956376740840 in words is "four trillion, nine hundred fifty-six billion, three hundred seventy-six million, seven hundred forty thousand, eight hundred forty".