181400948951040 has 1728 divisors, whose sum is σ = 811879056817920. Its totient is φ = 36609030881280.

The previous prime is 181400948951021. The next prime is 181400948951059. The reversal of 181400948951040 is 40159849004181.

181400948951040 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 0 + 0 + 9 + 4 + 89 + 510 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (181400948951021) and next prime (181400948951059).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2507545270 + ... + 2507617610.

It is an arithmetic number, because the mean of its divisors is an integer number (469837417140).

Almost surely, 2^{181400948951040} is an apocalyptic number.

181400948951040 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 181400948951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405939528408960).

181400948951040 is an abundant number, since it is smaller than the sum of its proper divisors (630478107866880).

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

181400948951040 is a wasteful number, since it uses less digits than its factorization.

181400948951040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72430 (or 72394 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 181400948951040 in words is "one hundred eighty-one trillion, four hundred billion, nine hundred forty-eight million, nine hundred fifty-one thousand, forty".