4953256007040 has 576 divisors, whose sum is σ = 19280701674000. Its totient is φ = 1162039910400.

The previous prime is 4953256006999. The next prime is 4953256007041. The reversal of 4953256007040 is 407006523594.

4953256007040 is a `hidden beast` number, since 4 + 9 + 5 + 32 + 5 + 600 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4953256007041) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 60848286 + ... + 60929634.

Almost surely, 2^{4953256007040} is an apocalyptic number.

4953256007040 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 4953256007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9640350837000).

4953256007040 is an abundant number, since it is smaller than the sum of its proper divisors (14327445666960).

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

4953256007040 is a wasteful number, since it uses less digits than its factorization.

4953256007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81447 (or 81401 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 4953256007040 in words is "four trillion, nine hundred fifty-three billion, two hundred fifty-six million, seven thousand, forty".