4021179617280 has 416 divisors, whose sum is σ = 14768805484800. Its totient is φ = 915090702336.

The previous prime is 4021179617237. The next prime is 4021179617309. The reversal of 4021179617280 is 827169711204.

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 31 ways as a sum of consecutive naturals, for example, 98467906 + ... + 98508734.

Almost surely, 2^{4021179617280} is an apocalyptic number.

4021179617280 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 4021179617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384402742400).

4021179617280 is an abundant number, since it is smaller than the sum of its proper divisors (10747625867520).

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

4021179617280 is a wasteful number, since it uses less digits than its factorization.

4021179617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41097 (or 41075 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 4021179617280 in words is "four trillion, twenty-one billion, one hundred seventy-nine million, six hundred seventeen thousand, two hundred eighty".