1357141940 has 96 divisors (see below), whose sum is σ = 3568416768. Its totient is φ = 421200000.

The previous prime is 1357141931. The next prime is 1357141987. The reversal of 1357141940 is 491417531.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1357141940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384785 + ... + 388295.

It is an arithmetic number, because the mean of its divisors is an integer number (37171008).

Almost surely, 2^1357141940 is an apocalyptic number.

1357141940 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 1357141940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784208384).

1357141940 is an abundant number, since it is smaller than the sum of its proper divisors (2211274828).

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

1357141940 is a wasteful number, since it uses less digits than its factorization.

1357141940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3787 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 1357141940 is about 36839.4074328022. The cubic root of 1357141940 is about 1107.1549954925.

The spelling of 1357141940 in words is "one billion, three hundred fifty-seven million, one hundred forty-one thousand, nine hundred forty".