425501432400 has 240 divisors, whose sum is σ = 1487532791808. Its totient is φ = 103110336000.

The previous prime is 425501432393. The next prime is 425501432401. The reversal of 425501432400 is 4234105524.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425501432401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44175585 + ... + 44185215.

Almost surely, 2^425501432400 is an apocalyptic number.

425501432400 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 425501432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743766395904).

425501432400 is an abundant number, since it is smaller than the sum of its proper divisors (1062031359408).

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

425501432400 is a wasteful number, since it uses less digits than its factorization.

425501432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13010 (or 12999 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 425501432400 its reverse (4234105524), we get a palindrome (429735537924).

The spelling of 425501432400 in words is "four hundred twenty-five billion, five hundred one million, four hundred thirty-two thousand, four hundred".