40000331441400 has 192 divisors, whose sum is σ = 136261251578880. Its totient is φ = 9626268441600.

The previous prime is 40000331441383. The next prime is 40000331441437. The reversal of 40000331441400 is 414413300004.

It is a super-3 number, since 3×40000331441400³ (a number of 42 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21214984 + ... + 23023383.

It is an arithmetic number, because the mean of its divisors is an integer number (709694018640).

Almost surely, 2^{40000331441400} is an apocalyptic number.

40000331441400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40000331441400 is an abundant number, since it is smaller than the sum of its proper divisors (96260920137480).

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

40000331441400 is a wasteful number, since it uses less digits than its factorization.

40000331441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44238534 (or 44238525 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 40000331441400 its reverse (414413300004), we get a palindrome (40414744741404).

The spelling of 40000331441400 in words is "forty trillion, three hundred thirty-one million, four hundred forty-one thousand, four hundred".