40129689600 has 2304 divisors, whose sum is σ = 204736896000. Its totient is φ = 7431782400.

The previous prime is 40129689581. The next prime is 40129689631. The reversal of 40129689600 is 698692104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×40129689600² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 1383782386 + ... + 1383782414.

It is an arithmetic number, because the mean of its divisors is an integer number (88861500).

Almost surely, 2^40129689600 is an apocalyptic number.

40129689600 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 40129689600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102368448000).

40129689600 is an abundant number, since it is smaller than the sum of its proper divisors (164607206400).

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

40129689600 is a wasteful number, since it uses less digits than its factorization.

40129689600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 40129689600 in words is "forty billion, one hundred twenty-nine million, six hundred eighty-nine thousand, six hundred".