1354057740672 has 128 divisors (see below), whose sum is σ = 4426727343360. Its totient is φ = 357114120192.

The previous prime is 1354057740599. The next prime is 1354057740683. The reversal of 1354057740672 is 2760477504531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1354057740672³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19339738 + ... + 19409625.

It is an arithmetic number, because the mean of its divisors is an integer number (34583807370).

Almost surely, 2^{1354057740672} is an apocalyptic number.

1354057740672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1354057740672 is an abundant number, since it is smaller than the sum of its proper divisors (3072669602688).

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

1354057740672 is a wasteful number, since it uses less digits than its factorization.

1354057740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38749400 (or 38749388 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 1354057740672 in words is "one trillion, three hundred fifty-four billion, fifty-seven million, seven hundred forty thousand, six hundred seventy-two".