1461294426240 has 1152 divisors, whose sum is σ = 5882879620800. Its totient is φ = 333056655360.

The previous prime is 1461294426239. The next prime is 1461294426253. The reversal of 1461294426240 is 426244921641.

1461294426240 is a `hidden beast` number, since 1 + 4 + 6 + 12 + 9 + 4 + 4 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 2158484782 + ... + 2158485458.

Almost surely, 2^{1461294426240} is an apocalyptic number.

1461294426240 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 1461294426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941439810400).

1461294426240 is an abundant number, since it is smaller than the sum of its proper divisors (4421585194560).

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

1461294426240 is a wasteful number, since it uses less digits than its factorization.

1461294426240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1461294426240 in words is "one trillion, four hundred sixty-one billion, two hundred ninety-four million, four hundred twenty-six thousand, two hundred forty".