4953097175040 has 1360 divisors, whose sum is σ = 20718462175488. Its totient is φ = 1108567130112.

The previous prime is 4953097175023. The next prime is 4953097175051. The reversal of 4953097175040 is 405717903594.

4953097175040 is a `hidden beast` number, since 4 + 9 + 5 + 30 + 97 + 17 + 504 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9847111429 + ... + 9847111931.

Almost surely, 2^{4953097175040} is an apocalyptic number.

4953097175040 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 4953097175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10359231087744).

4953097175040 is an abundant number, since it is smaller than the sum of its proper divisors (15765365000448).

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

4953097175040 is an frugal number, since it uses more digits than its factorization.

4953097175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 4953097175040 in words is "four trillion, nine hundred fifty-three billion, ninety-seven million, one hundred seventy-five thousand, forty".