1381041090 has 160 divisors (see below), whose sum is σ = 4363039296. Its totient is φ = 309018240.

The previous prime is 1381041073. The next prime is 1381041119. The reversal of 1381041090 is 901401831.

It is a super-3 number, since 3×1381041090³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 109869 + ... + 121791.

Almost surely, 2^1381041090 is an apocalyptic number.

1381041090 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 1381041090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181519648).

1381041090 is an abundant number, since it is smaller than the sum of its proper divisors (2981998206).

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

1381041090 is a wasteful number, since it uses less digits than its factorization.

1381041090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11966 (or 11957 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1381041090 is about 37162.3612005481. The cubic root of 1381041090 is about 1113.6161829498.

The spelling of 1381041090 in words is "one billion, three hundred eighty-one million, forty-one thousand, ninety".