1381079040 has 384 divisors, whose sum is σ = 4972181760. Its totient is φ = 324403200.

The previous prime is 1381079017. The next prime is 1381079071. The reversal of 1381079040 is 409701831.

1381079040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1381078992 and 1381079010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20613087 + ... + 20613153.

It is an arithmetic number, because the mean of its divisors is an integer number (12948390).

Almost surely, 2^1381079040 is an apocalyptic number.

1381079040 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 1381079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486090880).

1381079040 is an abundant number, since it is smaller than the sum of its proper divisors (3591102720).

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

1381079040 is a wasteful number, since it uses less digits than its factorization.

1381079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 1381079040 is about 37162.8717943057. The cubic root of 1381079040 is about 1113.6263833094.

The spelling of 1381079040 in words is "one billion, three hundred eighty-one million, seventy-nine thousand, forty".