940020414278400 has 1728 divisors, whose sum is σ = 4245229843456000. Its totient is φ = 198202212679680.

The previous prime is 940020414278359. The next prime is 940020414278431. The reversal of 940020414278400 is 4872414020049.

940020414278400 is a `hidden beast` number, since 9 + 4 + 0 + 0 + 204 + 14 + 27 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24640742526 + ... + 24640780674.

Almost surely, 2^{940020414278400} is an apocalyptic number.

940020414278400 is a gapful number since it is divisible by the number (90) 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 940020414278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122614921728000).

940020414278400 is an abundant number, since it is smaller than the sum of its proper divisors (3305209429177600).

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

940020414278400 is a wasteful number, since it uses less digits than its factorization.

940020414278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39771 (or 39746 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

Adding to 940020414278400 its reverse (4872414020049), we get a palindrome (944892828298449).

The spelling of 940020414278400 in words is "nine hundred forty trillion, twenty billion, four hundred fourteen million, two hundred seventy-eight thousand, four hundred".