1358207040 has 224 divisors, whose sum is σ = 4542739200. Its totient is φ = 343146496.

The previous prime is 1358206981. The next prime is 1358207051. The reversal of 1358207040 is 407028531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1358206989 and 1358207007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3024736 + ... + 3025184.

Almost surely, 2^1358207040 is an apocalyptic number.

1358207040 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 1358207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271369600).

1358207040 is an abundant number, since it is smaller than the sum of its proper divisors (3184532160).

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

1358207040 is a wasteful number, since it uses less digits than its factorization.

1358207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1358207040 is about 36853.8605847474. The cubic root of 1358207040 is about 1107.4445555830. Note that the first 3 decimals are identical.

The spelling of 1358207040 in words is "one billion, three hundred fifty-eight million, two hundred seven thousand, forty".