276423114240 has 1920 divisors, whose sum is σ = 1291207357440. Its totient is φ = 55037657088.

The previous prime is 276423114203. The next prime is 276423114251. The reversal of 276423114240 is 42411324672.

276423114240 is a `hidden beast` number, since 2 + 7 + 642 + 3 + 1 + 1 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×276423114240² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 276423114195 and 276423114204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1075576192 + ... + 1075576448.

It is an arithmetic number, because the mean of its divisors is an integer number (672503832).

Almost surely, 2^276423114240 is an apocalyptic number.

276423114240 is a gapful number since it is divisible by the number (20) 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 276423114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645603678720).

276423114240 is an abundant number, since it is smaller than the sum of its proper divisors (1014784243200).

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

276423114240 is a wasteful number, since it uses less digits than its factorization.

276423114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 276423114240 in words is "two hundred seventy-six billion, four hundred twenty-three million, one hundred fourteen thousand, two hundred forty".