3957154871040 has 720 divisors, whose sum is σ = 16210259980992. Its totient is φ = 902924402688.

The previous prime is 3957154871017. The next prime is 3957154871041. The reversal of 3957154871040 is 401784517593.

3957154871040 is a `hidden beast` number, since 3 + 9 + 57 + 1 + 5 + 487 + 104 + 0 = 666.

3957154871040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3957154871041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 447789502 + ... + 447798338.

Almost surely, 2^{3957154871040} is an apocalyptic number.

3957154871040 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 3957154871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8105129990496).

3957154871040 is an abundant number, since it is smaller than the sum of its proper divisors (12253105109952).

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

3957154871040 is an equidigital number, since it uses as much as digits as its factorization.

3957154871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9494 (or 9471 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 3957154871040 in words is "three trillion, nine hundred fifty-seven billion, one hundred fifty-four million, eight hundred seventy-one thousand, forty".