1442078400 has 336 divisors, whose sum is σ = 5460650496. Its totient is φ = 326369280.

The previous prime is 1442078381. The next prime is 1442078419. The reversal of 1442078400 is 48702441.

It is an interprime number because it is at equal distance from previous prime (1442078381) and next prime (1442078419).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1442078400² = 4159180223493120000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5611072 + ... + 5611328.

It is an arithmetic number, because the mean of its divisors is an integer number (16251936).

Almost surely, 2^1442078400 is an apocalyptic number.

1442078400 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 1442078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730325248).

1442078400 is an abundant number, since it is smaller than the sum of its proper divisors (4018572096).

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

1442078400 is a wasteful number, since it uses less digits than its factorization.

1442078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 1442078400 is about 37974.7073721444. The cubic root of 1442078400 is about 1129.7862649504.

The spelling of 1442078400 in words is "one billion, four hundred forty-two million, seventy-eight thousand, four hundred".