45511943400 has 576 divisors, whose sum is σ = 195231254400. Its totient is φ = 9225216000.

The previous prime is 45511943339. The next prime is 45511943443. The reversal of 45511943400 is 434911554.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5678596 + ... + 5686604.

It is an arithmetic number, because the mean of its divisors is an integer number (338943150).

Almost surely, 2^45511943400 is an apocalyptic number.

45511943400 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 45511943400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97615627200).

45511943400 is an abundant number, since it is smaller than the sum of its proper divisors (149719311000).

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

45511943400 is a wasteful number, since it uses less digits than its factorization.

45511943400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8078 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45511943400 in words is "forty-five billion, five hundred eleven million, nine hundred forty-three thousand, four hundred".