1354371840 has 180 divisors, whose sum is σ = 4846561104. Its totient is φ = 361138176.

The previous prime is 1354371797. The next prime is 1354371853. The reversal of 1354371840 is 481734531.

It is a happy number.

1354371840 is a `hidden beast` number, since 1 + 3 + 543 + 71 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 = 1354371795 and 1354371804.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97149 + ... + 110211.

Almost surely, 2^1354371840 is an apocalyptic number.

1354371840 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 1354371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423280552).

1354371840 is an abundant number, since it is smaller than the sum of its proper divisors (3492189264).

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

1354371840 is an equidigital number, since it uses as much as digits as its factorization.

1354371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13096 (or 13073 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1354371840 is about 36801.7912607525. The cubic root of 1354371840 is about 1106.4012008212.

The spelling of 1354371840 in words is "one billion, three hundred fifty-four million, three hundred seventy-one thousand, eight hundred forty".