1426642620480 has 3024 divisors, whose sum is σ = 6740741367360. Its totient is φ = 275393986560.

The previous prime is 1426642620479. The next prime is 1426642620493. The reversal of 1426642620480 is 840262466241.

1426642620480 is a `hidden beast` number, since 14 + 2 + 6 + 6 + 4 + 2 + 620 + 4 + 8 + 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 polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 21293173407 + ... + 21293173473.

It is an arithmetic number, because the mean of its divisors is an integer number (2229081140).

Almost surely, 2^{1426642620480} is an apocalyptic number.

1426642620480 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 1426642620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3370370683680).

1426642620480 is an abundant number, since it is smaller than the sum of its proper divisors (5314098746880).

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

1426642620480 is a wasteful number, since it uses less digits than its factorization.

1426642620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 1426642620480 in words is "one trillion, four hundred twenty-six billion, six hundred forty-two million, six hundred twenty thousand, four hundred eighty".