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40952222352 = 243717431601
BaseRepresentation
bin100110001000111100…
…010101001010010000
310220201000211110000000
4212020330111022100
51132332232103402
630451352130000
72646556101156
oct461074251220
9126630743000
1040952222352
1116405509868
127b2a996900
133b28431a42
141da6c3d3d6
1510ea3cbc1c
hex988f15290

40952222352 has 320 divisors, whose sum is σ = 129009957120. Its totient is φ = 12541132800.

The previous prime is 40952222321. The next prime is 40952222447. The reversal of 40952222352 is 25322225904.

It is a happy number.

40952222352 is a `hidden beast` number, since 409 + 5 + 22 + 223 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25578352 + ... + 25579952.

It is an arithmetic number, because the mean of its divisors is an integer number (403156116).

Almost surely, 240952222352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40952222352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64504978560).

40952222352 is an abundant number, since it is smaller than the sum of its proper divisors (88057734768).

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

40952222352 is a wasteful number, since it uses less digits than its factorization.

40952222352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 40952222352 in words is "forty billion, nine hundred fifty-two million, two hundred twenty-two thousand, three hundred fifty-two".