1356016140 has 60 divisors (see below), whose sum is σ = 4253877936. Its totient is φ = 361603872.

The previous prime is 1356016121. The next prime is 1356016147. The reversal of 1356016140 is 416106531.

1356016140 is a `hidden beast` number, since 1 + 3 + 560 + 1 + 61 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-4 number, since 4×1356016140⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1356016147) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 416904 + ... + 420143.

Almost surely, 2^1356016140 is an apocalyptic number.

1356016140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356016140 is an abundant number, since it is smaller than the sum of its proper divisors (2897861796).

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

1356016140 is a wasteful number, since it uses less digits than its factorization.

1356016140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837068 (or 837057 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1356016140 is about 36824.1244295095. The cubic root of 1356016140 is about 1106.8487686416.

The spelling of 1356016140 in words is "one billion, three hundred fifty-six million, sixteen thousand, one hundred forty".