2463406525440 has 1320 divisors, whose sum is σ = 10331781701472. Its totient is φ = 559613214720.

The previous prime is 2463406525439. The next prime is 2463406525471. The reversal of 2463406525440 is 445256043642.

It is a happy number.

2463406525440 is a `hidden beast` number, since 2 + 4 + 6 + 3 + 40 + 65 + 2 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4897428229 + ... + 4897428731.

Almost surely, 2^{2463406525440} is an apocalyptic number.

2463406525440 is a gapful number since it is divisible by the number (20) 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 2463406525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165890850736).

2463406525440 is an abundant number, since it is smaller than the sum of its proper divisors (7868375176032).

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

2463406525440 is a wasteful number, since it uses less digits than its factorization.

2463406525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 45.

The spelling of 2463406525440 in words is "two trillion, four hundred sixty-three billion, four hundred six million, five hundred twenty-five thousand, four hundred forty".