4048002241920 has 1536 divisors, whose sum is σ = 18020897556480. Its totient is φ = 845487341568.

The previous prime is 4048002241901. The next prime is 4048002241931. The reversal of 4048002241920 is 291422008404.

4048002241920 is a `hidden beast` number, since 404 + 8 + 0 + 0 + 2 + 241 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1457687572 + ... + 1457690348.

It is an arithmetic number, because the mean of its divisors is an integer number (11732355180).

Almost surely, 2^{4048002241920} is an apocalyptic number.

4048002241920 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 4048002241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9010448778240).

4048002241920 is an abundant number, since it is smaller than the sum of its proper divisors (13972895314560).

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

4048002241920 is a wasteful number, since it uses less digits than its factorization.

4048002241920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2934 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 4048002241920 in words is "four trillion, forty-eight billion, two million, two hundred forty-one thousand, nine hundred twenty".