941514900480 has 2816 divisors, whose sum is σ = 4557066117120. Its totient is φ = 179849134080.

The previous prime is 941514900451. The next prime is 941514900499. The reversal of 941514900480 is 84009415149.

It is a happy number.

941514900480 is a `hidden beast` number, since 9 + 4 + 1 + 514 + 90 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21895695339 + ... + 21895695381.

It is an arithmetic number, because the mean of its divisors is an integer number (1618276320).

Almost surely, 2^941514900480 is an apocalyptic number.

941514900480 is a gapful number since it is divisible by the number (90) 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 941514900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278533058560).

941514900480 is an abundant number, since it is smaller than the sum of its proper divisors (3615551216640).

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

941514900480 is a wasteful number, since it uses less digits than its factorization.

941514900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 941514900480 in words is "nine hundred forty-one billion, five hundred fourteen million, nine hundred thousand, four hundred eighty".