958415942615040 has 9216 divisors, whose sum is σ = 4843138000608000. Its totient is φ = 180303364620288.

The previous prime is 958415942615029. The next prime is 958415942615069. The reversal of 958415942615040 is 40516249514859.

It is a happy number.

958415942615040 is a `hidden beast` number, since 9 + 5 + 8 + 4 + 1 + 5 + 9 + 4 + 2 + 615 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a super-2 number, since 2×958415942615040² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 50442944348151 + ... + 50442944348169.

Almost surely, 2^{958415942615040} is an apocalyptic number.

958415942615040 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 958415942615040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421569000304000).

958415942615040 is an abundant number, since it is smaller than the sum of its proper divisors (3884722057992960).

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

958415942615040 is an equidigital number, since it uses as much as digits as its factorization.

958415942615040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 958415942615040 in words is "nine hundred fifty-eight trillion, four hundred fifteen billion, nine hundred forty-two million, six hundred fifteen thousand, forty".