2427087421440 has 1632 divisors, whose sum is σ = 10140441083136. Its totient is φ = 550376570880.

The previous prime is 2427087421337. The next prime is 2427087421459. The reversal of 2427087421440 is 441247807242.

It is a happy number.

2427087421440 is a `hidden beast` number, since 2 + 42 + 70 + 87 + 4 + 21 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14890106799 + ... + 14890106961.

Almost surely, 2^{2427087421440} is an apocalyptic number.

2427087421440 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 2427087421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5070220541568).

2427087421440 is an abundant number, since it is smaller than the sum of its proper divisors (7713353661696).

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

2427087421440 is an equidigital number, since it uses as much as digits as its factorization.

2427087421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 45.

The spelling of 2427087421440 in words is "two trillion, four hundred twenty-seven billion, eighty-seven million, four hundred twenty-one thousand, four hundred forty".