4862672855040 has 1344 divisors, whose sum is σ = 21012910244352. Its totient is φ = 932393779200.

The previous prime is 4862672855017. The next prime is 4862672855063. The reversal of 4862672855040 is 405582762684.

It is an interprime number because it is at equal distance from previous prime (4862672855017) and next prime (4862672855063).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1599035920 + ... + 1599038960.

Almost surely, 2^{4862672855040} is an apocalyptic number.

4862672855040 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 4862672855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10506455122176).

4862672855040 is an abundant number, since it is smaller than the sum of its proper divisors (16150237389312).

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

4862672855040 is a wasteful number, since it uses less digits than its factorization.

4862672855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 4862672855040 in words is "four trillion, eight hundred sixty-two billion, six hundred seventy-two million, eight hundred fifty-five thousand, forty".