1381153410 has 256 divisors, whose sum is σ = 4606156800. Its totient is φ = 286716672.

The previous prime is 1381153409. The next prime is 1381153469. The reversal of 1381153410 is 143511831.

1381153410 is a `hidden beast` number, since 138 + 115 + 3 + 410 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1645771 + ... + 1646609.

It is an arithmetic number, because the mean of its divisors is an integer number (17992800).

Almost surely, 2^1381153410 is an apocalyptic number.

1381153410 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 1381153410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303078400).

1381153410 is an abundant number, since it is smaller than the sum of its proper divisors (3225003390).

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

1381153410 is a wasteful number, since it uses less digits than its factorization.

1381153410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1381153410 is about 37163.8723762742. The cubic root of 1381153410 is about 1113.6463722468.

The spelling of 1381153410 in words is "one billion, three hundred eighty-one million, one hundred fifty-three thousand, four hundred ten".