1354190040 has 192 divisors, whose sum is σ = 5294764800. Its totient is φ = 293227776.

The previous prime is 1354190027. The next prime is 1354190041. The reversal of 1354190040 is 400914531.

It is a junction number, because it is equal to n+sod(n) for n = 1354189986 and 1354190013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354190041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33739 + ... + 62021.

It is an arithmetic number, because the mean of its divisors is an integer number (27576900).

Almost surely, 2^1354190040 is an apocalyptic number.

1354190040 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 1354190040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647382400).

1354190040 is an abundant number, since it is smaller than the sum of its proper divisors (3940574760).

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

1354190040 is a wasteful number, since it uses less digits than its factorization.

1354190040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28326 (or 28319 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1354190040 is about 36799.3211893915. The cubic root of 1354190040 is about 1106.3516938018.

The spelling of 1354190040 in words is "one billion, three hundred fifty-four million, one hundred ninety thousand, forty".