3940747070400 has 2520 divisors, whose sum is σ = 18029482240176. Its totient is φ = 838862438400.

The previous prime is 3940747070399. The next prime is 3940747070453. The reversal of 3940747070400 is 40707470493.

3940747070400 is a `hidden beast` number, since 3 + 9 + 40 + 74 + 70 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

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 359 ways as a sum of consecutive naturals, for example, 18676526295 + ... + 18676526505.

Almost surely, 2^{3940747070400} is an apocalyptic number.

3940747070400 is a gapful number since it is divisible by the number (30) 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 3940747070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9014741120088).

3940747070400 is an abundant number, since it is smaller than the sum of its proper divisors (14088735169776).

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

3940747070400 is a wasteful number, since it uses less digits than its factorization.

3940747070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 3940747070400 in words is "three trillion, nine hundred forty billion, seven hundred forty-seven million, seventy thousand, four hundred".