40151916235200 has 1344 divisors, whose sum is σ = 175526133608448. Its totient is φ = 7778957721600.

The previous prime is 40151916235177. The next prime is 40151916235219. The reversal of 40151916235200 is 253261915104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×40151916235200² (a number of 28 digits) contains 22 as substring.

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, 672272539 + ... + 672332261.

It is an arithmetic number, because the mean of its divisors is an integer number (130599801792).

Almost surely, 2^{40151916235200} is an apocalyptic number.

40151916235200 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 40151916235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87763066804224).

40151916235200 is an abundant number, since it is smaller than the sum of its proper divisors (135374217373248).

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

40151916235200 is a wasteful number, since it uses less digits than its factorization.

40151916235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59890 (or 59875 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 40151916235200 in words is "forty trillion, one hundred fifty-one billion, nine hundred sixteen million, two hundred thirty-five thousand, two hundred".