1350599040 has 768 divisors, whose sum is σ = 5881075200. Its totient is φ = 278691840.

The previous prime is 1350598981. The next prime is 1350599071. The reversal of 1350599040 is 409950531.

1350599040 is a `hidden beast` number, since 13 + 50 + 599 + 0 + 4 + 0 = 666.

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 = 1350598986 and 1350599004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31409259 + ... + 31409301.

It is an arithmetic number, because the mean of its divisors is an integer number (7657650).

Almost surely, 2^1350599040 is an apocalyptic number.

1350599040 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 1350599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940537600).

1350599040 is an abundant number, since it is smaller than the sum of its proper divisors (4530476160).

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

1350599040 is a wasteful number, since it uses less digits than its factorization.

1350599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 1350599040 is about 36750.4971394946. The cubic root of 1350599040 is about 1105.3728981763.

The spelling of 1350599040 in words is "one billion, three hundred fifty million, five hundred ninety-nine thousand, forty".