45401510000 has 200 divisors, whose sum is σ = 137047430784. Its totient is φ = 14150880000.

The previous prime is 45401509999. The next prime is 45401510027. The reversal of 45401510000 is 1510454.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×45401510000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 740519 + ... + 799481.

Almost surely, 2^45401510000 is an apocalyptic number.

45401510000 is a gapful number since it is divisible by the number (40) 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 45401510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68523715392).

45401510000 is an abundant number, since it is smaller than the sum of its proper divisors (91645920784).

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

45401510000 is a wasteful number, since it uses less digits than its factorization.

45401510000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59009 (or 58988 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 45401510000 in words is "forty-five billion, four hundred one million, five hundred ten thousand".