956201567040 has 336 divisors, whose sum is σ = 3477848564736. Its totient is φ = 240742195200.

The previous prime is 956201567029. The next prime is 956201567179. The reversal of 956201567040 is 40765102659.

956201567040 is a `hidden beast` number, since 9 + 5 + 620 + 15 + 6 + 7 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×956201567040² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3529869 + ... + 3791091.

It is an arithmetic number, because the mean of its divisors is an integer number (10350739776).

Almost surely, 2^956201567040 is an apocalyptic number.

956201567040 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 956201567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738924282368).

956201567040 is an abundant number, since it is smaller than the sum of its proper divisors (2521646997696).

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

956201567040 is a wasteful number, since it uses less digits than its factorization.

956201567040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261318 (or 261305 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

Adding to 956201567040 its reverse (40765102659), we get a palindrome (996966669699).

The spelling of 956201567040 in words is "nine hundred fifty-six billion, two hundred one million, five hundred sixty-seven thousand, forty".