1420261920 has 288 divisors, whose sum is σ = 6043040640. Its totient is φ = 295096320.

The previous prime is 1420261903. The next prime is 1420261961. The reversal of 1420261920 is 291620241.

1420261920 is a `hidden beast` number, since 1 + 4 + 20 + 2 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104476 + ... + 117284.

It is an arithmetic number, because the mean of its divisors is an integer number (20982780).

Almost surely, 2^1420261920 is an apocalyptic number.

1420261920 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 1420261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021520320).

1420261920 is an abundant number, since it is smaller than the sum of its proper divisors (4622778720).

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

1420261920 is a wasteful number, since it uses less digits than its factorization.

1420261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12848 (or 12837 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1420261920 is about 37686.3625201478. The cubic root of 1420261920 is about 1124.0599673346.

The spelling of 1420261920 in words is "one billion, four hundred twenty million, two hundred sixty-one thousand, nine hundred twenty".