240004855028064 has 384 divisors, whose sum is σ = 743932729064448. Its totient is φ = 66326098083840.

The previous prime is 240004855028051. The next prime is 240004855028143. The reversal of 240004855028064 is 460820558400042.

It is a super-3 number, since 3×240004855028064³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1557961027 + ... + 1558115069.

It is an arithmetic number, because the mean of its divisors is an integer number (1937324815272).

Almost surely, 2^{240004855028064} is an apocalyptic number.

240004855028064 is a gapful number since it is divisible by the number (24) 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 240004855028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371966364532224).

240004855028064 is an abundant number, since it is smaller than the sum of its proper divisors (503927874036384).

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

240004855028064 is a wasteful number, since it uses less digits than its factorization.

240004855028064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154590 (or 154582 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 240004855028064 in words is "two hundred forty trillion, four billion, eight hundred fifty-five million, twenty-eight thousand, sixty-four".