1406300797440 has 2880 divisors, whose sum is σ = 6760821779712. Its totient is φ = 273277255680.

The previous prime is 1406300797439. The next prime is 1406300797477. The reversal of 1406300797440 is 447970036041.

1406300797440 is a `hidden beast` number, since 1 + 4 + 0 + 630 + 0 + 7 + 9 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 287 ways as a sum of consecutive naturals, for example, 8957329842 + ... + 8957329998.

Almost surely, 2^{1406300797440} is an apocalyptic number.

1406300797440 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 1406300797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380410889856).

1406300797440 is an abundant number, since it is smaller than the sum of its proper divisors (5354520982272).

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

1406300797440 is a wasteful number, since it uses less digits than its factorization.

1406300797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1406300797440 in words is "one trillion, four hundred six billion, three hundred million, seven hundred ninety-seven thousand, four hundred forty".