1421395920 has 180 divisors, whose sum is σ = 5553009540. Its totient is φ = 324882432.

The previous prime is 1421395919. The next prime is 1421395933. The reversal of 1421395920 is 295931241.

1421395920 is a `hidden beast` number, since 14 + 21 + 39 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1035037584 + 386358336 = 32172^2 + 19656^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1421395920² = 4040732722785292800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15136 + ... + 55424.

It is an arithmetic number, because the mean of its divisors is an integer number (30850053).

Almost surely, 2^1421395920 is an apocalyptic number.

1421395920 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 1421395920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2776504770).

1421395920 is an abundant number, since it is smaller than the sum of its proper divisors (4131613620).

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

1421395920 is a wasteful number, since it uses less digits than its factorization.

1421395920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40322 (or 40306 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1421395920 is about 37701.4047483645. The cubic root of 1421395920 is about 1124.3590541628.

The spelling of 1421395920 in words is "one billion, four hundred twenty-one million, three hundred ninety-five thousand, nine hundred twenty".