40114953942400 has 192 divisors, whose sum is σ = 100794982302000. Its totient is φ = 15771056209920.

The previous prime is 40114953942281. The next prime is 40114953942449. The reversal of 40114953942400 is 424935941104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196408836 + ... + 1196442364.

Almost surely, 2^{40114953942400} is an apocalyptic number.

40114953942400 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 40114953942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50397491151000).

40114953942400 is an abundant number, since it is smaller than the sum of its proper divisors (60680028359600).

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

40114953942400 is a wasteful number, since it uses less digits than its factorization.

40114953942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39949 (or 39932 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 40114953942400 in words is "forty trillion, one hundred fourteen billion, nine hundred fifty-three million, nine hundred forty-two thousand, four hundred".