40140242400 has 144 divisors (see below), whose sum is σ = 131534550000. Its totient is φ = 10632130560.

The previous prime is 40140242347. The next prime is 40140242437. The reversal of 40140242400 is 424204104.

40140242400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40140242400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 301476 + ... + 413724.

It is an arithmetic number, because the mean of its divisors is an integer number (913434375).

Almost surely, 2^40140242400 is an apocalyptic number.

40140242400 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 40140242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65767275000).

40140242400 is an abundant number, since it is smaller than the sum of its proper divisors (91394307600).

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

40140242400 is a wasteful number, since it uses less digits than its factorization.

40140242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112421 (or 112408 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 40140242400 its reverse (424204104), we get a palindrome (40564446504).

The spelling of 40140242400 in words is "forty billion, one hundred forty million, two hundred forty-two thousand, four hundred".