42003904792320 has 1728 divisors, whose sum is σ = 165199918141440. Its totient is φ = 9797566464000.

The previous prime is 42003904792301. The next prime is 42003904792379. The reversal of 42003904792320 is 2329740930024.

42003904792320 is a `hidden beast` number, since 4 + 20 + 0 + 390 + 4 + 7 + 9 + 232 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 39965655795 + ... + 39965656845.

It is an arithmetic number, because the mean of its divisors is an integer number (95601804480).

Almost surely, 2^{42003904792320} is an apocalyptic number.

42003904792320 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 42003904792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82599959070720).

42003904792320 is an abundant number, since it is smaller than the sum of its proper divisors (123196013349120).

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

42003904792320 is a wasteful number, since it uses less digits than its factorization.

42003904792320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 42003904792320 in words is "forty-two trillion, three billion, nine hundred four million, seven hundred ninety-two thousand, three hundred twenty".