1355387040 has 576 divisors, whose sum is σ = 5826038400. Its totient is φ = 292626432.

The previous prime is 1355387039. The next prime is 1355387051. The reversal of 1355387040 is 407835531.

1355387040 is a `hidden beast` number, since 13 + 5 + 538 + 70 + 40 = 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 = 1355386986 and 1355387004.

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, 4021752 + ... + 4022088.

It is an arithmetic number, because the mean of its divisors is an integer number (10114650).

Almost surely, 2^1355387040 is an apocalyptic number.

1355387040 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 1355387040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2913019200).

1355387040 is an abundant number, since it is smaller than the sum of its proper divisors (4470651360).

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

1355387040 is a wasteful number, since it uses less digits than its factorization.

1355387040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1355387040 is about 36815.5814839315. The cubic root of 1355387040 is about 1106.6775744477.

The spelling of 1355387040 in words is "one billion, three hundred fifty-five million, three hundred eighty-seven thousand, forty".