1900391164240 has 40 divisors (see below), whose sum is σ = 4446552221640. Its totient is φ = 755314699776.

The previous prime is 1900391164219. The next prime is 1900391164241. The reversal of 1900391164240 is 424611930091.

It can be written as a sum of positive squares in 4 ways, for example, as 92398976784 + 1807992187456 = 303972^2 + 1344616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1900391164240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1900391164193 and 1900391164202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900391164241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75639955 + ... + 75665074.

It is an arithmetic number, because the mean of its divisors is an integer number (111163805541).

Almost surely, 2^{1900391164240} is an apocalyptic number.

1900391164240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1900391164240 is an abundant number, since it is smaller than the sum of its proper divisors (2546161057400).

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

1900391164240 is a wasteful number, since it uses less digits than its factorization.

1900391164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151305199 (or 151305193 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 1900391164240 in words is "one trillion, nine hundred billion, three hundred ninety-one million, one hundred sixty-four thousand, two hundred forty".