4020874149600 has 4032 divisors, whose sum is σ = 20361286794240. Its totient is φ = 748884787200.

The previous prime is 4020874149563. The next prime is 4020874149631. The reversal of 4020874149600 is 69414780204.

4020874149600 is a `hidden beast` number, since 4 + 0 + 20 + 8 + 7 + 4 + 14 + 9 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 17558402286 + ... + 17558402514.

It is an arithmetic number, because the mean of its divisors is an integer number (5049922320).

Almost surely, 2^{4020874149600} is an apocalyptic number.

4020874149600 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 4020874149600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10180643397120).

4020874149600 is an abundant number, since it is smaller than the sum of its proper divisors (16340412644640).

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

4020874149600 is a wasteful number, since it uses less digits than its factorization.

4020874149600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 4020874149600 in words is "four trillion, twenty billion, eight hundred seventy-four million, one hundred forty-nine thousand, six hundred".