42725390400 has 1512 divisors, whose sum is σ = 198657618432. Its totient is φ = 8515584000.

The previous prime is 42725390377. The next prime is 42725390401. The reversal of 42725390400 is 409352724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42725390401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 378100744 + ... + 378100856.

Almost surely, 2^42725390400 is an apocalyptic number.

42725390400 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 42725390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99328809216).

42725390400 is an abundant number, since it is smaller than the sum of its proper divisors (155932228032).

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

42725390400 is a wasteful number, since it uses less digits than its factorization.

42725390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

It can be divided in two parts, 427253 and 90400, that added together give a triangular number (517653 = T₁₀₁₇).

The spelling of 42725390400 in words is "forty-two billion, seven hundred twenty-five million, three hundred ninety thousand, four hundred".