40236134400 has 1638 divisors, whose sum is σ = 189834386652. Its totient is φ = 8360755200.

The previous prime is 40236134387. The next prime is 40236134413. The reversal of 40236134400 is 443163204.

40236134400 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 613 + 4 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40236134387) and next prime (40236134413).

It is a super-2 number, since 2×40236134400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 3657830395 + ... + 3657830405.

Almost surely, 2^40236134400 is an apocalyptic number.

40236134400 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 40236134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94917193326).

40236134400 is an abundant number, since it is smaller than the sum of its proper divisors (149598252252).

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

40236134400 is an equidigital number, since it uses as much as digits as its factorization.

40236134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 40236134400 its reverse (443163204), we get a palindrome (40679297604).

The spelling of 40236134400 in words is "forty billion, two hundred thirty-six million, one hundred thirty-four thousand, four hundred".