1472719248000 has 3072 divisors, whose sum is σ = 7531411829760. Its totient is φ = 265420800000.

The previous prime is 1472719247933. The next prime is 1472719248043. The reversal of 1472719248000 is 8429172741.

1472719248000 is a `hidden beast` number, since 14 + 7 + 2 + 71 + 92 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2450447700 + ... + 2450448300.

It is an arithmetic number, because the mean of its divisors is an integer number (2451631455).

Almost surely, 2^{1472719248000} is an apocalyptic number.

1472719248000 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 1472719248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3765705914880).

1472719248000 is an abundant number, since it is smaller than the sum of its proper divisors (6058692581760).

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

1472719248000 is a wasteful number, since it uses less digits than its factorization.

1472719248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1472719248000 in words is "one trillion, four hundred seventy-two billion, seven hundred nineteen million, two hundred forty-eight thousand".