1354379040 has 144 divisors (see below), whose sum is σ = 5282117568. Its totient is φ = 309570048.

The previous prime is 1354379029. The next prime is 1354379053. The reversal of 1354379040 is 409734531.

1354379040 is a `hidden beast` number, since 1 + 3 + 543 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1354378986 and 1354379004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57102 + ... + 77261.

It is an arithmetic number, because the mean of its divisors is an integer number (36681372).

Almost surely, 2^1354379040 is an apocalyptic number.

1354379040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1354379040 is an abundant number, since it is smaller than the sum of its proper divisors (3927738528).

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

1354379040 is a wasteful number, since it uses less digits than its factorization.

1354379040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134391 (or 134380 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1354379040 is about 36801.8890819480. The cubic root of 1354379040 is about 1106.4031614040.

The spelling of 1354379040 in words is "one billion, three hundred fifty-four million, three hundred seventy-nine thousand, forty".