40232441400 has 288 divisors, whose sum is σ = 134504903040. Its totient is φ = 9943971840.

The previous prime is 40232441399. The next prime is 40232441401. The reversal of 40232441400 is 414423204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40232441399) and next prime (40232441401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40232441401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11616069 + ... + 11619531.

Almost surely, 2^40232441400 is an apocalyptic number.

40232441400 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 40232441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67252451520).

40232441400 is an abundant number, since it is smaller than the sum of its proper divisors (94272461640).

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

40232441400 is a wasteful number, since it uses less digits than its factorization.

40232441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 40232441400 its reverse (414423204), we get a palindrome (40646864604).

The spelling of 40232441400 in words is "forty billion, two hundred thirty-two million, four hundred forty-one thousand, four hundred".