1025188416 has 168 divisors, whose sum is σ = 3375013824. Its totient is φ = 291456000.

The previous prime is 1025188403. The next prime is 1025188427. The reversal of 1025188416 is 6148815201.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×1025188416² = 2102022576601178112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011526 + ... + 1012538.

It is an arithmetic number, because the mean of its divisors is an integer number (20089368).

Almost surely, 2^1025188416 is an apocalyptic number.

1025188416 is a gapful number since it is divisible by the number (16) 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 1025188416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687506912).

1025188416 is an abundant number, since it is smaller than the sum of its proper divisors (2349825408).

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

1025188416 is a wasteful number, since it uses less digits than its factorization.

1025188416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1025188416 is about 32018.5636155028. The cubic root of 1025188416 is about 1008.3266137354.

The spelling of 1025188416 in words is "one billion, twenty-five million, one hundred eighty-eight thousand, four hundred sixteen".