4957490557440 has 1440 divisors, whose sum is σ = 18742668392448. Its totient is φ = 1209522585600.

The previous prime is 4957490557429. The next prime is 4957490557477. The reversal of 4957490557440 is 447550947594.

4957490557440 is a `hidden beast` number, since 4 + 9 + 5 + 74 + 9 + 0 + 557 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39035358657 + ... + 39035358783.

Almost surely, 2^{4957490557440} is an apocalyptic number.

4957490557440 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 4957490557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9371334196224).

4957490557440 is an abundant number, since it is smaller than the sum of its proper divisors (13785177835008).

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

4957490557440 is a wasteful number, since it uses less digits than its factorization.

4957490557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 4957490557440 in words is "four trillion, nine hundred fifty-seven billion, four hundred ninety million, five hundred fifty-seven thousand, four hundred forty".