1416257040 has 80 divisors (see below), whose sum is σ = 4789532736. Its totient is φ = 343334400.

The previous prime is 1416257023. The next prime is 1416257057. The reversal of 1416257040 is 407526141.

It is an interprime number because it is at equal distance from previous prime (1416257023) and next prime (1416257057).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1416256989 and 1416257007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265591 + ... + 270870.

Almost surely, 2^1416257040 is an apocalyptic number.

1416257040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1416257040 is an abundant number, since it is smaller than the sum of its proper divisors (3373275696).

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

1416257040 is a wasteful number, since it uses less digits than its factorization.

1416257040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536488 (or 536482 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1416257040 is about 37633.1906699392. The cubic root of 1416257040 is about 1123.0024245419.

The spelling of 1416257040 in words is "one billion, four hundred sixteen million, two hundred fifty-seven thousand, forty".