1420913024 has 128 divisors (see below), whose sum is σ = 3149107200. Its totient is φ = 635904000.

The previous prime is 1420913017. The next prime is 1420913041. The reversal of 1420913024 is 4203190241.

It is a Cunningham number, because it is equal to 37695²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1420912984 and 1420913002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3543224 + ... + 3543624.

It is an arithmetic number, because the mean of its divisors is an integer number (24602400).

Almost surely, 2^1420913024 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 1420913024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574553600).

1420913024 is an abundant number, since it is smaller than the sum of its proper divisors (1728194176).

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

1420913024 is a wasteful number, since it uses less digits than its factorization.

1420913024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 1420913024 is about 37694.9999867356. Note that the first 4 decimals coincide. The cubic root of 1420913024 is about 1124.2317122121.

The spelling of 1420913024 in words is "one billion, four hundred twenty million, nine hundred thirteen thousand, twenty-four".