344965140480 has 416 divisors, whose sum is σ = 1144703913984. Its totient is φ = 88639930368.

The previous prime is 344965140451. The next prime is 344965140491. The reversal of 344965140480 is 84041569443.

It is a happy number.

It is a super-2 number, since 2×344965140480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193473669 + ... + 193475451.

Almost surely, 2^344965140480 is an apocalyptic number.

344965140480 is a gapful number since it is divisible by the number (30) 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 344965140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572351956992).

344965140480 is an abundant number, since it is smaller than the sum of its proper divisors (799738773504).

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

344965140480 is a wasteful number, since it uses less digits than its factorization.

344965140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1929 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 344965140480 in words is "three hundred forty-four billion, nine hundred sixty-five million, one hundred forty thousand, four hundred eighty".