40626979200 has 288 divisors, whose sum is σ = 151271724240. Its totient is φ = 10362654720.

The previous prime is 40626979163. The next prime is 40626979201. The reversal of 40626979200 is 297962604.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40626979201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 631734 + ... + 693066.

Almost surely, 2^40626979200 is an apocalyptic number.

40626979200 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 40626979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75635862120).

40626979200 is an abundant number, since it is smaller than the sum of its proper divisors (110644745040).

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

40626979200 is a wasteful number, since it uses less digits than its factorization.

40626979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61386 (or 61366 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 40626979200 in words is "forty billion, six hundred twenty-six million, nine hundred seventy-nine thousand, two hundred".