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40820562432 = 2932132632591
BaseRepresentation
bin100110000001000110…
…000101101000000000
310220100212002102112200
4212001012011220000
51132100030444212
630430330153200
72643400025046
oct460106055000
9126325072480
1040820562432
1116348163811
127ab2882800
133b07084870
141d9356a396
1510dda716dc
hex981185a00

40820562432 has 240 divisors, whose sum is σ = 127404845568. Its totient is φ = 12507586560.

The previous prime is 40820562383. The next prime is 40820562463. The reversal of 40820562432 is 23426502804.

40820562432 is a `hidden beast` number, since 4 + 0 + 8 + 20 + 5 + 624 + 3 + 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 23 ways as a sum of consecutive naturals, for example, 15753457 + ... + 15756047.

Almost surely, 240820562432 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 40820562432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63702422784).

40820562432 is an abundant number, since it is smaller than the sum of its proper divisors (86584283136).

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

40820562432 is a wasteful number, since it uses less digits than its factorization.

40820562432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 40820562432 in words is "forty billion, eight hundred twenty million, five hundred sixty-two thousand, four hundred thirty-two".