40251302054400 has 240 divisors, whose sum is σ = 132985440333504. Its totient is φ = 10732245319680.

The previous prime is 40251302054309. The next prime is 40251302054417. The reversal of 40251302054400 is 445020315204.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304330684 + ... + 304462916.

Almost surely, 2^{40251302054400} is an apocalyptic number.

40251302054400 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 40251302054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66492720166752).

40251302054400 is an abundant number, since it is smaller than the sum of its proper divisors (92734138279104).

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

40251302054400 is a wasteful number, since it uses less digits than its factorization.

40251302054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140191 (or 140170 counting only the distinct ones).

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

Adding to 40251302054400 its reverse (445020315204), we get a palindrome (40696322369604).

The spelling of 40251302054400 in words is "forty trillion, two hundred fifty-one billion, three hundred two million, fifty-four thousand, four hundred".