6234112909440 has 512 divisors, whose sum is σ = 25029012960000. Its totient is φ = 1453784039424.

The previous prime is 6234112909417. The next prime is 6234112909489. The reversal of 6234112909440 is 449092114326.

6234112909440 is a `hidden beast` number, since 6 + 2 + 3 + 4 + 112 + 90 + 9 + 440 = 666.

It is a super-2 number, since 2×6234112909440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3537856 + ... + 4998464.

Almost surely, 2^{6234112909440} is an apocalyptic number.

6234112909440 is a gapful number since it is divisible by the number (60) 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 6234112909440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12514506480000).

6234112909440 is an abundant number, since it is smaller than the sum of its proper divisors (18794900050560).

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

6234112909440 is a wasteful number, since it uses less digits than its factorization.

6234112909440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460669 (or 1460651 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 6234112909440 in words is "six trillion, two hundred thirty-four billion, one hundred twelve million, nine hundred nine thousand, four hundred forty".