40095149400 has 288 divisors, whose sum is σ = 143133026400. Its totient is φ = 10023628800.

The previous prime is 40095149351. The next prime is 40095149467. The reversal of 40095149400 is 494159004.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8228965 + ... + 8233835.

It is an arithmetic number, because the mean of its divisors is an integer number (496989675).

Almost surely, 2^40095149400 is an apocalyptic number.

40095149400 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 40095149400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71566513200).

40095149400 is an abundant number, since it is smaller than the sum of its proper divisors (103037877000).

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

40095149400 is a wasteful number, since it uses less digits than its factorization.

40095149400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179 (or 5167 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 40095149400 in words is "forty billion, ninety-five million, one hundred forty-nine thousand, four hundred".