1914575040 has 252 divisors, whose sum is σ = 7661062656. Its totient is φ = 437584896.

The previous prime is 1914575009. The next prime is 1914575051. The reversal of 1914575040 is 405754191.

1914575040 is a `hidden beast` number, since 1 + 9 + 145 + 7 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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 = 1914574986 and 1914575004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 134337 + ... + 147903.

Almost surely, 2^1914575040 is an apocalyptic number.

1914575040 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 1914575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830531328).

1914575040 is an abundant number, since it is smaller than the sum of its proper divisors (5746487616).

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

1914575040 is a wasteful number, since it uses less digits than its factorization.

1914575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13604 (or 13584 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1914575040 is about 43755.8572079213. The cubic root of 1914575040 is about 1241.7213000800.

The spelling of 1914575040 in words is "one billion, nine hundred fourteen million, five hundred seventy-five thousand, forty".