40014414201400 has 24 divisors (see below), whose sum is σ = 93033513018720. Its totient is φ = 16005765680480.

The previous prime is 40014414201353. The next prime is 40014414201409. The reversal of 40014414201400 is 410241441004.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40014414201409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100036035304 + ... + 100036035703.

It is an arithmetic number, because the mean of its divisors is an integer number (3876396375780).

Almost surely, 2^{40014414201400} is an apocalyptic number.

40014414201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40014414201400 is an abundant number, since it is smaller than the sum of its proper divisors (53019098817320).

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

40014414201400 is a wasteful number, since it uses less digits than its factorization.

40014414201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200072071023 (or 200072071014 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 40014414201400 its reverse (410241441004), we get a palindrome (40424655642404).

The spelling of 40014414201400 in words is "forty trillion, fourteen billion, four hundred fourteen million, two hundred one thousand, four hundred".