3973468141440 has 1920 divisors, whose sum is σ = 16937884339200. Its totient is φ = 884902330368.

The previous prime is 3973468141417. The next prime is 3973468141457. The reversal of 3973468141440 is 441418643793.

3973468141440 is a `hidden beast` number, since 3 + 9 + 73 + 46 + 81 + 414 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31287150657 + ... + 31287150783.

It is an arithmetic number, because the mean of its divisors is an integer number (8821814760).

Almost surely, 2^{3973468141440} is an apocalyptic number.

3973468141440 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 3973468141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468942169600).

3973468141440 is an abundant number, since it is smaller than the sum of its proper divisors (12964416197760).

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

3973468141440 is a wasteful number, since it uses less digits than its factorization.

3973468141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3973468141440 in words is "three trillion, nine hundred seventy-three billion, four hundred sixty-eight million, one hundred forty-one thousand, four hundred forty".