1077334272000 has 1152 divisors, whose sum is σ = 4508699569920. Its totient is φ = 242329190400.

The previous prime is 1077334271969. The next prime is 1077334272013. The reversal of 1077334272000 is 2724337701.

It is a happy number.

1077334272000 is a `hidden beast` number, since 107 + 7 + 3 + 342 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1080575502 + ... + 1080576498.

It is an arithmetic number, because the mean of its divisors is an integer number (3913801710).

Almost surely, 2^{1077334272000} is an apocalyptic number.

1077334272000 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 1077334272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254349784960).

1077334272000 is an abundant number, since it is smaller than the sum of its proper divisors (3431365297920).

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

1077334272000 is an equidigital number, since it uses as much as digits as its factorization.

1077334272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 1077334272000 in words is "one trillion, seventy-seven billion, three hundred thirty-four million, two hundred seventy-two thousand".