1409118480000 has 1440 divisors, whose sum is σ = 6431858896320. Its totient is φ = 292723200000.

The previous prime is 1409118479963. The next prime is 1409118480047. The reversal of 1409118480000 is 848119041.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×1409118480000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 388078185 + ... + 388081815.

It is an arithmetic number, because the mean of its divisors is an integer number (4466568678).

Almost surely, 2^{1409118480000} is an apocalyptic number.

1409118480000 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 1409118480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3215929448160).

1409118480000 is an abundant number, since it is smaller than the sum of its proper divisors (5022740416320).

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

1409118480000 is a wasteful number, since it uses less digits than its factorization.

1409118480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 1409118480000 in words is "one trillion, four hundred nine billion, one hundred eighteen million, four hundred eighty thousand".