40651161600 has 768 divisors, whose sum is σ = 163827014400. Its totient is φ = 8682209280.

The previous prime is 40651161553. The next prime is 40651161643. The reversal of 40651161600 is 616115604.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292454331 + ... + 292454469.

It is an arithmetic number, because the mean of its divisors is an integer number (213316425).

Almost surely, 2^40651161600 is an apocalyptic number.

40651161600 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 40651161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81913507200).

40651161600 is an abundant number, since it is smaller than the sum of its proper divisors (123175852800).

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

40651161600 is a wasteful number, since it uses less digits than its factorization.

40651161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 40651161600 in words is "forty billion, six hundred fifty-one million, one hundred sixty-one thousand, six hundred".