40331233041400 has 240 divisors, whose sum is σ = 109424252538000. Its totient is φ = 13823769738240.

The previous prime is 40331233041383. The next prime is 40331233041403. The reversal of 40331233041400 is 414033213304.

It is a super-2 number, since 2×40331233041400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40331233041403) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1944319429 + ... + 1944340171.

It is an arithmetic number, because the mean of its divisors is an integer number (455934385575).

Almost surely, 2^{40331233041400} is an apocalyptic number.

40331233041400 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 40331233041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54712126269000).

40331233041400 is an abundant number, since it is smaller than the sum of its proper divisors (69093019496600).

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

40331233041400 is a wasteful number, since it uses less digits than its factorization.

40331233041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24836 (or 24806 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 40331233041400 its reverse (414033213304), we get a palindrome (40745266254704).

The spelling of 40331233041400 in words is "forty trillion, three hundred thirty-one billion, two hundred thirty-three million, forty-one thousand, four hundred".