956143319040 has 2304 divisors, whose sum is σ = 4376251152000. Its totient is φ = 196199055360.

The previous prime is 956143319011. The next prime is 956143319083. The reversal of 956143319040 is 40913341659.

956143319040 is a `hidden beast` number, since 9 + 561 + 4 + 33 + 19 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10743183316 + ... + 10743183404.

Almost surely, 2^956143319040 is an apocalyptic number.

956143319040 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 956143319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2188125576000).

956143319040 is an abundant number, since it is smaller than the sum of its proper divisors (3420107832960).

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

956143319040 is a wasteful number, since it uses less digits than its factorization.

956143319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 956143319040 in words is "nine hundred fifty-six billion, one hundred forty-three million, three hundred nineteen thousand, forty".