1369265040 has 720 divisors, whose sum is σ = 5794629120. Its totient is φ = 296524800.

The previous prime is 1369265021. The next prime is 1369265059. The reversal of 1369265040 is 405629631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1369265021) and next prime (1369265059).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1369264986 and 1369265004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 44169825 + ... + 44169855.

It is an arithmetic number, because the mean of its divisors is an integer number (8048096).

Almost surely, 2^1369265040 is an apocalyptic number.

1369265040 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 1369265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2897314560).

1369265040 is an abundant number, since it is smaller than the sum of its proper divisors (4425364080).

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

1369265040 is a wasteful number, since it uses less digits than its factorization.

1369265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1369265040 is about 37003.5814482869. The cubic root of 1369265040 is about 1110.4418985608.

The spelling of 1369265040 in words is "one billion, three hundred sixty-nine million, two hundred sixty-five thousand, forty".