4902151679040 has 1344 divisors, whose sum is σ = 20254204035072. Its totient is φ = 982528081920.

The previous prime is 4902151679023. The next prime is 4902151679053. The reversal of 4902151679040 is 409761512094.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3820850239 + ... + 3820851521.

It is an arithmetic number, because the mean of its divisors is an integer number (15070092288).

Almost surely, 2^{4902151679040} is an apocalyptic number.

4902151679040 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 4902151679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10127102017536).

4902151679040 is an abundant number, since it is smaller than the sum of its proper divisors (15352052356032).

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

4902151679040 is a wasteful number, since it uses less digits than its factorization.

4902151679040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 4902151679040 in words is "four trillion, nine hundred two billion, one hundred fifty-one million, six hundred seventy-nine thousand, forty".