101324041440000 has 360 divisors, whose sum is σ = 338322224382912. Its totient is φ = 26912064000000.

The previous prime is 101324041439987. The next prime is 101324041440067. The reversal of 101324041440000 is 44140423101.

It is a super-2 number, since 2×101324041440000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120059499 + ... + 120900501.

Almost surely, 2^{101324041440000} is an apocalyptic number.

101324041440000 is a gapful number since it is divisible by the number (10) 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 101324041440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169161112191456).

101324041440000 is an abundant number, since it is smaller than the sum of its proper divisors (236998182942912).

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

101324041440000 is an frugal number, since it uses more digits than its factorization.

101324041440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841293 (or 841264 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101324041440000 its reverse (44140423101), we get a palindrome (101368181863101).

The spelling of 101324041440000 in words is "one hundred one trillion, three hundred twenty-four billion, forty-one million, four hundred forty thousand".