956121408000 has 1760 divisors, whose sum is σ = 4070934122112. Its totient is φ = 221709312000.

The previous prime is 956121407959. The next prime is 956121408001. The reversal of 956121408000 is 804121659.

956121408000 is a `hidden beast` number, since 9 + 561 + 2 + 14 + 0 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (956121408001) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 41570495989 + ... + 41570496011.

Almost surely, 2^956121408000 is an apocalyptic number.

956121408000 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 956121408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035467061056).

956121408000 is an abundant number, since it is smaller than the sum of its proper divisors (3114812714112).

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

956121408000 is an frugal number, since it uses more digits than its factorization.

956121408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 956121408000 its reverse (804121659), we get a palindrome (956925529659).

The spelling of 956121408000 in words is "nine hundred fifty-six billion, one hundred twenty-one million, four hundred eight thousand".