1401133590 has 96 divisors (see below), whose sum is σ = 3744703872. Its totient is φ = 363264000.

The previous prime is 1401133589. The next prime is 1401133597. The reversal of 1401133590 is 953311041.

1401133590 is a `hidden beast` number, since 1 + 40 + 1 + 1 + 33 + 590 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1401133597) 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, 1589950 + ... + 1590830.

It is an arithmetic number, because the mean of its divisors is an integer number (39007332).

Almost surely, 2^1401133590 is an apocalyptic number.

1401133590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401133590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872351936).

1401133590 is an abundant number, since it is smaller than the sum of its proper divisors (2343570282).

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

1401133590 is a wasteful number, since it uses less digits than its factorization.

1401133590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1401133590 is about 37431.7190361330. The cubic root of 1401133590 is about 1118.9907974336.

The spelling of 1401133590 in words is "one billion, four hundred one million, one hundred thirty-three thousand, five hundred ninety".