1405318679040 has 160 divisors (see below), whose sum is σ = 4614051467520. Its totient is φ = 364623151104.

The previous prime is 1405318679021. The next prime is 1405318679087. The reversal of 1405318679040 is 409768135041.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2188600 + ... + 2756919.

It is an arithmetic number, because the mean of its divisors is an integer number (28837821672).

Almost surely, 2^{1405318679040} is an apocalyptic number.

1405318679040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405318679040 is an abundant number, since it is smaller than the sum of its proper divisors (3208732788480).

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

1405318679040 is an equidigital number, since it uses as much as digits as its factorization.

1405318679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945582 (or 4945566 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 1405318679040 in words is "one trillion, four hundred five billion, three hundred eighteen million, six hundred seventy-nine thousand, forty".