1390424400 has 240 divisors, whose sum is σ = 5109752320. Its totient is φ = 358732800.

The previous prime is 1390424381. The next prime is 1390424467. The reversal of 1390424400 is 44240931.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332724 + ... + 336876.

Almost surely, 2^1390424400 is an apocalyptic number.

1390424400 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 1390424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554876160).

1390424400 is an abundant number, since it is smaller than the sum of its proper divisors (3719327920).

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

1390424400 is a wasteful number, since it uses less digits than its factorization.

1390424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4194 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1390424400 is about 37288.3949775262. The cubic root of 1390424400 is about 1116.1326007315.

The spelling of 1390424400 in words is "one billion, three hundred ninety million, four hundred twenty-four thousand, four hundred".