1420749624024 has 192 divisors, whose sum is σ = 3930301440000. Its totient is φ = 463553475840.

The previous prime is 1420749624011. The next prime is 1420749624029. The reversal of 1420749624024 is 4204269470241.

1420749624024 is a `hidden beast` number, since 14 + 2 + 0 + 7 + 4 + 9 + 624 + 0 + 2 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1420749624029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548338969 + ... + 548341559.

It is an arithmetic number, because the mean of its divisors is an integer number (20470320000).

Almost surely, 2^{1420749624024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420749624024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965150720000).

1420749624024 is an abundant number, since it is smaller than the sum of its proper divisors (2509551815976).

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

1420749624024 is a wasteful number, since it uses less digits than its factorization.

1420749624024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 1420749624024 in words is "one trillion, four hundred twenty billion, seven hundred forty-nine million, six hundred twenty-four thousand, twenty-four".