4104078274560 has 1248 divisors, whose sum is σ = 15179367237120. Its totient is φ = 938606592000.

The previous prime is 4104078274553. The next prime is 4104078274561. The reversal of 4104078274560 is 654728704014.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104078274561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46113238996 + ... + 46113239084.

Almost surely, 2^{4104078274560} is an apocalyptic number.

4104078274560 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 4104078274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589683618560).

4104078274560 is an abundant number, since it is smaller than the sum of its proper divisors (11075288962560).

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

4104078274560 is a wasteful number, since it uses less digits than its factorization.

4104078274560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 48.

The spelling of 4104078274560 in words is "four trillion, one hundred four billion, seventy-eight million, two hundred seventy-four thousand, five hundred sixty".