1258742016 has 216 divisors, whose sum is σ = 4392670464. Its totient is φ = 338411520.

The previous prime is 1258742003. The next prime is 1258742057. The reversal of 1258742016 is 6102478521.

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, 271881 + ... + 276471.

Almost surely, 2^1258742016 is an apocalyptic number.

1258742016 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 1258742016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2196335232).

1258742016 is an abundant number, since it is smaller than the sum of its proper divisors (3133928448).

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

1258742016 is a wasteful number, since it uses less digits than its factorization.

1258742016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1258742016 is about 35478.7544313495. The cubic root of 1258742016 is about 1079.7227271746.

The spelling of 1258742016 in words is "one billion, two hundred fifty-eight million, seven hundred forty-two thousand, sixteen".