1480003190400 has 2304 divisors, whose sum is σ = 6445987430400. Its totient is φ = 290989670400.

The previous prime is 1480003190381. The next prime is 1480003190461. The reversal of 1480003190400 is 40913000841.

It is a happy number.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18734217561 + ... + 18734217639.

It is an arithmetic number, because the mean of its divisors is an integer number (2797737600).

Almost surely, 2^{1480003190400} is an apocalyptic number.

1480003190400 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 1480003190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222993715200).

1480003190400 is an abundant number, since it is smaller than the sum of its proper divisors (4965984240000).

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

1480003190400 is a wasteful number, since it uses less digits than its factorization.

1480003190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 1480003190400 in words is "one trillion, four hundred eighty billion, three million, one hundred ninety thousand, four hundred".