340027542400 has 576 divisors, whose sum is σ = 1086421714560. Its totient is φ = 104122368000.

The previous prime is 340027542391. The next prime is 340027542409. The reversal of 340027542400 is 4245720043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (340027542391) and next prime (340027542409).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340027542409) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 63187710 + ... + 63193090.

It is an arithmetic number, because the mean of its divisors is an integer number (1886148810).

Almost surely, 2^340027542400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340027542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543210857280).

340027542400 is an abundant number, since it is smaller than the sum of its proper divisors (746394172160).

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

340027542400 is a wasteful number, since it uses less digits than its factorization.

340027542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5463 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 31.

The spelling of 340027542400 in words is "three hundred forty billion, twenty-seven million, five hundred forty-two thousand, four hundred".